Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 70-75.

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On the Dirichlet Eigenvalue Problem of the Folland-Stein Operator on the Heisenberg Group

Luo Xuebo, Niu Pengcheng   

  1. Institute of Applied Mathematics. Northwestern Polytechnical University. Xian 710072
  • Received:1995-12-04 Revised:1996-09-01 Online:1997-12-26 Published:1997-12-26

Abstract: We study the Dirichlet eigenvalue problem of the Folland-Stein operator Lα which has discrete eigenvalues as|Reα|<n and positive eigenvalues as α∈(-n,n). Then by establishing the Rayleigh Theorem and the Min-Max Theorem we give the estimates for the differences of the consecutive eigenvalues.

Key words: Folland-Stein operator, eigenvalue, estimate

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